Question

For each of the following situations, find the critical value(s) for z or t. a) Ho: ρ:0.4 vs. HA: ρ#0.4 at α-0.05 b) Ho: ρ:0.2 vs. HA: ρ > 0.2 at α-o10 c) Ho: μ-20 vs. HA: μ #20 at α-0.10; n-44 d) Ho: ρ-o4 vs. HA: ρ > 0.4 at α-o05; n-340 e) Ho: μ-40 vs. HA: μ < 40 at α-0.10; n-1000 a)The critical value(s) is(are) ▼ (Use a comma to separate answers as needed. Round to two decimal places as needed.) b) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) c) The critical value(s) is(are) (Use a comma to separate answers as needed. Round to two decimal places as needed.) d) The criical value(s) is(are (Use a comma to separate answers as needed. Round to two decimal places as needed.) e) The critical value(s) is(are) y「

Answer 1

solution:-

a)

This is the two tailed test .

$\alpha$ = 0.05

The critical value (s) for z = $\pm$ 1.96

b)

This is the right tailed test .

$\alpha$ = 0.10

The critical value (s) for =  1.28

c)

This is the two tailed test .

$\alpha$ = 0.10

n= 44, df =n-1 =44-1 =43

The critical value (s) for z = $\pm$ 1.68

d)

This is the right tailed test .

$\alpha$ = 0.05

n=340, df = n - 1 = 340 -1 =339

The critical value (s) for z = 1.65

e)

This is left tailed test .

$\alpha$ = 0.10

n=1000, df = n - 1 = 1000 -1 =999

The critical value (s) for z = -1.28